Question

What is the volume of a rectangular prism with a length of  8 1 /2 812 cm, width of  9 1/3 913 cm and a height of  12 2/5 1225 cm?

Answer 1

`983(11)/(15)\ cm^(3)`

Explanation:

we know that

The volume of a rectangular prism is equal to

`V=LWH`

In this problem we have

`L=8(1)/(2)\ cm`

Convert to an improper fraction

`L=8(1)/(2)\ cm=(8*2+1)/2=(17/2)\ cm`

`W=9(1)/(3)\ cm`

Convert to an improper fraction

`W=9(1)/(3)\ cm=(9*3+1)/3=(28/3)\ cm`

`H=12(2)/(5)\ cm`

Convert to an improper fraction

`H=12(2)/(5)\ cm=(12*5+2)/5=(62/5)\ cm`

Substitute the values to find the volume

`V=(17/2)*(28/3)*(62/5)=29,512/30\ cm^(3)`

Convert to mixed number

`29,512/30\ cm^(3)=983(22)/(30) =983(11)/(15)\ cm^(3)`

Answer 2

The volume of a rectangular prism is obtained by multiplying the length, width and the height of the prism. You can multiply them in any order to get the same different result. We calculate as follows:

V = lwh
V = 8 1 /2 (9 1 /3) (12 2/5)
V = 983.73

Hope this answers the question. Have a nice day.